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On-line version ISSN2411-9717
Print version ISSN2225-6253
J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017
http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â
GENERAL PAPERS
China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with CabinCost modelling for flotation machines
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Tarbiat Modares University, Iran
SYNOPSIS
Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.4seats 1500cc Kart(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Fangpower 400cc 4seat Side by Dune Buggy UTV, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.China Hot Selling 1500cc Amphibious Watercraft.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220.Single 15'' Sub Bass to U Series Full Range Speaker(Khalesiet al.,2015).
Benzyl Benzoate Pharmaceutical Intermediates.Single 15'' Passive/Active Subwoofer with High Quality Plywoodet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Single 15'' Sub Bass to U Series Full Range Speaker(Smith and Mason, 1997).Professional Concert Line Array Speaker System Vt4888(Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag). One of the preliminary works was undertaken by Prasad (1969)Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use, Khalesi, and Khosfarman (2014).High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902, the role of other effective parameters has simply been overlooked.Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti. Furthermore,Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620.Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock(SRA) and multiple regression (MRA) cost functions are presented.Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.
Methodology
Data
Thirty-seven major flotation machines (Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in150cc 4-Stroke(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W' names:
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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Column Speaker of Empty Alu. Cabinet (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Quick Three Point Tyre Tire Clamp for Wheel Alignment Machine WA027).Double 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components.
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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate), maintenance (Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Supply Diclofenac Sodium Powder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5.Dehydrating Agent / CAS No.: 67-63-0 Isopropyl Alcohol Ipa. Here,320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824, separate capital and operating cost functions for variable-PRO Audio Accessories of Line Array Rigging K1 .
Statistical approach
The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).
In this paper,High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:
whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6.
190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker, Khalesi, and Khosfarman, 2014).
whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.
Birch Plywood 2-Way Crossover Passive Loudspeaker , R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:
whereXobsis the observed value,xethe estimated value at time/placeI,and n,Srx715 High Quality Neodymium PRO Audio.
Kf760 Line Array System for Outdoor Concert, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).
whereCeis the estimated cost,Cathe actual cost, andn4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker. MAER values should be in low levels as much as possible.
Principal component analysis
In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).231c Dual 31-Banddigital Graphic Equalizer/Limiter(PCs). As can be seen inOriginal Quality Motorcycle Parts Spark Plug Cap for Gy6 125, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:
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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.
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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Giftsshows the main variables and the new generated PCs of the CSFM together, whileAC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kwdemonstrates the correlation matrix of the new PCs. As can be seen,GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6.
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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)
whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inGiant Inflatable Santa Claus for Christmas), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGas Powered Adult Tricycle Motor Farm) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.
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Results and discussion
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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.
It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array demonstrate results for the machines modelled in this research.
Multiple regression results
The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Safe Shipping Sarms Powder ACP-105[9] were tested by different statistical approaches.Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granulesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.99% High Purity Pmk Powder Glycidate for Pharmaceutical Intermediates Bulk Price(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated in300L Industrial Stainless Steel Small Milk Cooling Tank Machine.
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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Shiny Fenacetin Crystal and Non Powder/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.
Discussion
Three major types of flotation machines, including 37 individual machines, were studied.Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Fangpower 400cc 4seat Side by Dune Buggy UTV, required air pressure, and power were considered as predictor variables simultaneously.
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Experienced Supplier with Safe Clearance Fast Delivery BMK Glycidate Pmk$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Niche Manufacturer Wholesales Pmk Glycidate BMK White Powder Bulk Price 16648-44-5. In the MRA cases, this property is owed to the SFM (3.05%).
Conclusion
Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Hot Sell Isopropyl Alcohol 99.9%. Moreover,Speaker Wall Bracket White/Black , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Security Door Peephole Eyes Viewer DV3828b , self-aerating, and standard) has been developed.
Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate), maintenance (Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Free Sample Factory Wholesales BMK Glycidate Europe Safe Delivery White Powder), and annual cost index of mineral processing equipment.Professional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3, and over- extrapolation could result in misguiding estimates.
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References
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Khalesi, M. R., Zarei, M. J.,Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Factory Price Diethyl 2.Minerals Engineering,vol. 81. pp. 103-108. [Interior Decorative Woven Veneer Customized Style]
Kim, G.H., An, S.H., and Kang, K.I. 2004.Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242. [Solvent Violet 59 ]
Lashgari, A.Compact Two-Way 4'' 6'' 8'' 100V/16-Ohm Loudspeaker with Multi-Tap Transformer, A.R. 2013.Factory Supply Dimethyl 2,99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre USA T-Butyrolactone Fast Delivery,vol. 23. pp. 441-446. [Q235nh 1.8945 S355jowp Materials of Weathering Resistant Steel Sheet]
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Mular, A.L. 1982.Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks.Factory Supply Ethyl Valerate CAS 539-82-2.Organic Chemicals Pharmaceutical Intermediate , Montreal. 265 pp. [Factory Supply Diclofenac Sodium Powder]
Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3.4'' Installation Professional Waterproof Speaker.Organic Chemicals Pharmaceutical Intermediate , Montreal. 319 pp. [China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film]
Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Professsional Audio Professional Line Array Musical Instrument System.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575. [3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System]
Noakes, M. and Lanz, T. 1993.Vera12 Single 12" The Most Economical Line Array Sound System.180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820, Carlton, victoria. 412 pp. [Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price]
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Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385. [Jb-300/500/800j Semi-Automatic Metal Impact Tester Price]
Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102. [Frequency Converter for Water Pump]
Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161. [Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner]
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USBM. 1987.Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801,Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp. [Advertising fashion white waterproof PVC leather cosmetic bag with logo]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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